非正则型周期Riemann边值问题和它在求解含Hilbert核奇异积分方程上的应用* （Ⅰ）

非正则型周期Riemann边值问题和它在求解含Hilbert核奇异积分方程上的应用* （Ⅰ） THE PERIODIC RIEMANN BOUNDARY VALUE PROBLEM OF NON—NORMAL TYPE AND ITS APPLICATION ON SINGULAR INTEGRAL EQUATION WITH HILBERT KERNEL（Ⅰ） 林玉波 Lin Yubo first-author 本文讨论复数阶正则型的周期Riemann边值问题。它是文献[1]相应结果的推广,在此基础上,将文献[2]中某些结果推广到复数阶非正则型含Hilbert核的奇异积分方程上来。 In this paper, We have discussed and solved the following Periodic Riemann Boundary value Problem of non—normal type. Where m j aud n k （j=1, 2, …m k=1, 2, …n） are non—negativc integer number; γ j and δ k are complex number 0 < R e γ j < 1, 0 < R e δ k < 1（j=1, 2, …m, k=1, 2, …n） g（t） and G o （t）are periodic functions and have sufficient higer order derivative. On this conditions we get the solutions and conditions of solvabilty of singular integral equation with Hilbert kernel. 中国科学院科学基金 1984-01-01 2021-04-01 1